Categories related to Science: Math: Geometry: Polytopes: Polyhedra: Science: Math: Geometry: Solid Geometry (2) Websites on Polyhedra: * Virtual Reality Polyhedra Encyclopedia with virtual reality (VRML) models, history and art of the shapes. Includes background information on each shape, a glossary, guide to names, classroom activities, sculptures by the author, and a bibliography. Alexander's Polyhedra Alex Doskey's collection of VMRL models. Includes a concentric model of the five platonic solids, Stewart G3's, toroidal polyhedra, and other shapes. Circumnavigating a Cube and a Tetrahedron Discusses the shortest closed routes which cross or visit each face or edge on the surfaces of the five regular polyhedra. Fr. Magnus Wenninger OSB Photographs of his constructions and a bibliography of works by and about him. Gallery of Polyhedra Gallery of shapes that can be made from books in the Tarquin catalogue, with some VRML models. Handsonmath.com Abstract of book about geometric model building. Harold Scott MacDonald Coxeter Biography from an online History of Mathematics, with quotes. Juno's World Three dimensional block puzzles, VRML models, instructions for creating real-world shrinkable models, and a gallery of images. In English and Japanese. Martin's Pretty Polyhedra Images generated by simulating n randomly placed, mutually repelling particles on a sphere. Simulations up to n = 257. Mathematician's Portrait - Professor Emeritus H.S.M. Coxeter Short biography from the University of Toronto. Metal Polyhedra Models A set of eight solid aluminum models for purchase, available in several colors. Multiple-unit Dodecahedral Constructions Images and VRML models of the shapes connected together by their faces. Netlib Repository - Polyhedra Data files and sample C code for a large number of the shapes. Paper Models of Polyhedra More than eighty paper model templates, ready to cut out and fold up, available to print out or download. Pavilion of Polyhedreality List of links to sites on the topic, plus a few renderings of the shapes. Platonic Solids Explains why there can be only five regular polyhedra. The Platonic Solids by Peter Alfeld A proof that each configuration of polygons around a vertex results in a unique polyhedron, plus Java applets for rotating the images of the shapes. Platonic Spheres The five regular polyhedra mapped onto the surface of their surrounding spheres, which can be rotated in java applets. Also includes a discussion of the mathematical properties of the shapes. Polyedergarten Images of paper models, plus some vrml models. In English, German, and French. Polyhedra by Jim McNeill Collection of VRML models generated by a QuickBasic program named Hedron. A number of the models aren't seen elsewhere. Polyhedra by Peter Cromwell Contents, reviews, and errata of the book (CUP, 1997). Polyhedra Home by Sam Gatrix Hundreds of ray-traced polyhedra, their duals, and their properties, plus Polyhedra 2001, a real-time viewer available for download (uses OpenGL). Polyhedra Models by Doug Zongker Templates for paper models for each of the 5 Platonic solids and the 13 Archimedean semi-regular polyhedra, in pdf format. polyhedra.mathmos.net An online encyclopedia of the shapes, including ray-traces and other data on the Platonic Solids, Kepler-Poinsot Polyhedra, and Archimedean Solids. The Puzzling World of Polyhedral Dissections Puzzle designer's guidebook with designs, plans, and instructions for building geometric dissection puzzles of polyhedra and burrs. A Ride Through the World of Polyhedra Images, properties, constructions, and java applets to rotate the shapes. Includes convex, non-convex, and other polyhedra, plus links to other sites. Stellated Icosahedra Background information and images of the 59 possible stellated icosahedra. Studies into Polyhedra by Anthony Thyssen VRML models and raw data in the OFF format to generate the shapes, plus images of the shapes rendered with povray. Superliminal Software - The Geometry Page Discussion of deltahedra, infinite and flexible polyhedra, with images, a java applet, and links. Symmetry, Crystals and Polyhedra Data on polyhedra, the different types, compounds of the shapes, stellations, stewart toroids, zonohedra, and tesselations. Also discusses crystallography and symmetry. Three Puzzles with Polyhedra and Numbers An article by Jorge Rezende, Lisbon. Includes a deltoidal icositetrahedron, rhombicuboctahedron and rhombic dodecahedron exercise. [PDF] Tom Gettys' Polyhedra Hyperpages Ray-traced images and VRML models of platonic, archimedean, and kepler poinsot polyhedra, deltahedra, stellated polyhedra, and prisms. The Uniform Polyhedra Excerpt of Chapter 9 of R. Maeder's book The Mathematica Programmer II. Includes images and statistics for 80 uniform polyhedra, plus background information on the shapes and the wythoff symbol. Vladimir Bulatov Polyhedra Collection Collection of information on polyhedra with images, VRML files, interactive java applets and original research. World of Polyhedra System that can take 3d structure descriptions and generate mouse-rotatable flash animations out of them. Examples of animations for the five regular polytopes. In Chinese and English. Zvi Har'El Features a paper on uniform polyhedra and Kaleido software for computation and display of the shapes.
|
|